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3 years ago

If fg = 2 units, fi = 7 units, and hi = 1 unit , what is gh

1 answer:

5 0

See the picture to better understand the problem

F________G_______H_______I

we know that
FI=FG+GH+HI-----> solve for GH
GH=FI-FG-HI
FI=7 units
FG=2 units
HI=1 unit
substitute
GH=7-2-1-----> GH=4 units

the answer is
GH=4 units

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Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls m

JulsSmile [24]

Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .

A) Determine the test statistic

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5) / $\sqrt{0.5*0.5 / 200}$ = 2.12

b) determine the p-value

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

3 0

3 years ago

Is the following function even, odd or neither? f(x)=x^3 +4x

erica [24]

Answer:

D, neither

Step-by-step explanation:

to determine whether a function is even, odd or neither, we need to know what it means

an even function is symmetric with respect to the y-axis

an odd function is symmetric with respect to the origin

to solve an equation to see if its even or odd, we would need to substitute x in the equation for -x.

in an even function when we substitute f(-x), it should be equal to to f(x)

in an odd function when we substitute f(-x), it should be equal to -f(x)

so lets test the function given to see if its even

f(x) = x³ + 4x

f(-x) = (-x)³ + 4(-x)

f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to the orignal function, we see that f(-x) = x³ - 4x is not even as we did not get the same output as the original function

now we should test to see if its odd. we have already seen what f(-x) is, now lets try -f(x) and compare it to f(-x) and f(x)

-f(x) = -(x³ + 4x) -->

-f(x) = -x³ - 4x ≠ f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to f(x) and f(-x), we see that it not odd as we did not get the same output

so the answer is D, neither even nor odd

6 0

3 years ago

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

Nimfa-mama [501]

We know that, $speed = \frac{distance}{time}$

Julia can finish a 20-mile bike ride in 1.2 hours.

The distance Julia travels is 20 miles and the time she takes is 1.2 hours.

So, Julia's speed = $\frac{20}{1.2}$ = 16.67 mph

Katie can finish the same bike ride in 1.6 hours.

The distance Katie travels is 20 miles and the time she takes is 1.6 hours.

So, Katie's speed = $\frac{20}{1.6}$ = 12.5 mph

Now, to find how much faster Julia rides than Katie we subtract Katie's speed from Julia's speed.

So, 16.67 mph - 12.5 mph = 4.17 mph = 4.2 mph (approximately)

Thus, Julia rides 4.2 mph faster than Katie.

5 0

3 years ago

Read 2 more answers

D. Write a system of two linear equations that has more than one solution.

ddd [48]

D. y=5x+6 and 2y-12-10x=0 has infinitely many solutions and both lines are linear

E. y=4x+1, y=9x+4 has the solutions x = -3/5, y = -7/5

3 0

3 years ago

Write the equation of the line given the slope and a point through the line passes

Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0

3 years ago